Least Common Multiple of 8944 and 8949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8944 and 8949 the smallest integer that is 80039856 that is divisible by both numbers.

Least Common Multiple (LCM) of 8944 and 8949 is 80039856.

LCM(8944,8949) = 80039856

LCM of 8944 and 8949

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8944 and 8949

LCM of 8944 and 8949 is 80039856

Least common multiple can be found by multiplying the highest exponent prime factors of 8944 and 8949. First we will calculate the prime factors of 8944 and 8949.

Prime Factorization of 8944


2 8944
2 4472
2 2236
2 1118
13 559
43 43
1

Prime factors of 8944 are 2, 13,43. Prime factorization of 8944 in exponential form is:

8944 = 24×131×431

Prime Factorization of 8949


3 8949
19 2983
157 157
1

Prime factors of 8949 are 3, 19,157. Prime factorization of 8949 in exponential form is:

8949 = 31×191×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 8944 and 8949.

LCM(8944,8949) = 24×31×131×191×431×1571
LCM(8944,8949) = 80039856

Factors of 8944

List of positive integer factors of 8944 that divides 8944 without a remainder.

1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944

Factors of 8949

List of positive integer factors of 8949 that divides 8949 without a remainder.

1, 3, 19, 57, 157, 471, 2983, 8949

Least Common Multiple of 8944 and 8949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8944 and 8949, than apply into the LCM equation.

GCF(8944,8949) = 1
LCM(8944,8949) = ( 8944 × 8949) / 1
LCM(8944,8949) = 80039856 / 1
LCM(8944,8949) = 80039856

Properties of LCM 8944 and 8949

(i) The LCM of 8949 and 8944 is associative

LCM of 8944 and 8949 = LCM of 8949 and 8944

Related Least Common Multiples of 8944

Related Least Common Multiples of 8949

Frequently Asked Questions on LCM of 8944 and 8949

1. What is the LCM of 8944 and 8949?

Answer: LCM of 8944 and 8949 is 80039856.

2. What are the Factors of 8944?

Answer: Factors of 8944 are 1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944. There are 20 integers that are factors of 8944. The greatest factor of 8944 is 8944.

3. What are the Factors of 8949?

Answer: Factors of 8949 are 1, 3, 19, 57, 157, 471, 2983, 8949. There are 8 integers that are factors of 8949. The greatest factor of 8949 is 8949.

4. How to Find the LCM of 8944 and 8949?

Answer:

Least Common Multiple of 8944 and 8949 = 80039856

Step 1: Find the prime factorization of 8944

8944 = 2 x 2 x 2 x 2 x 13 x 43

Step 2: Find the prime factorization of 8949

8949 = 3 x 19 x 157

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 80039856 = 2 x 2 x 2 x 2 x 3 x 13 x 19 x 43 x 157

Step 4: Therefore, the least common multiple of 8944 and 8949 is 80039856.